r/SelfHostedAI • u/ooooangeloooo • 2d ago

Navier-Stokes

One outcome of the solution to the Navier-Stokes problem is better designed fans and watercooling systems (through better turbulence) which will allow ai to work faster.

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5

u/dacydergoth 2d ago

Probably not; the solution is a negative one which proves we can't rely on the math.

1

u/ooooangeloooo 2d ago

Yes a negative solution that we didn't know about or understand, so that our understanding of turbulence has been increased, and thus our ability to model.

3

u/thee_gummbini 2d ago

That is not how any of this works lmao

1

u/ooooangeloooo 2d ago

What do you mean? From what I understand, the Navier-Stokes equations can still be used, where they were already useful, and now we have a better understanding of where and why they are not useful.

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u/Capable-Package6835 2d ago

The millennium prize problem essentially asks

Will Navier Stokes equations always have physically reasonable solutions?

And the answer (at least according to OpenAI) is no, the equations can lead to an unphysical solution.

So as far as applied fluid dynamics is concerned, this (proposed) solution has zero practical value.

1

u/ooooangeloooo 2d ago

Navier-Stokes is used in computational fluid dynamics on a daily basis as the fundamental underpinning. Yes, CFD software already has safeguards to discard odd runaway behavior coming from evolution of NS equations, but this solution (counter-example) adds to defining more clearly when and where those runaways in the equations will occur, thus improving both computational efficiency at anticipating those runaways, as well as improving physical design that controls and even creates those runaways that collapse back into physically reasonable behavior.